A sharp symmetrized form of Talagrand’s transport-entropy inequality for the Gaussian measure
| العنوان: | A sharp symmetrized form of Talagrand’s transport-entropy inequality for the Gaussian measure |
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| المؤلفون: | Max Fathi |
| المساهمون: | Centre National de la Recherche Scientifique (CNRS), Institut de Mathématiques de Toulouse UMR5219 (IMT), Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Toulouse 1 Capitole (UT1)-Université Toulouse - Jean Jaurès (UT2J)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Toulouse 1 Capitole (UT1), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Université Toulouse - Jean Jaurès (UT2J)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS), Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS), ANR-17-CE40-0030,EFI,Entropie, flots, inégalités(2017) |
| المصدر: | Electronic Communications in Probability Electronic Communications in Probability, Institute of Mathematical Statistics (IMS), 2018, 23 Electronic Communications in Probability, Institute of Mathematical Statistics (IMS), 2018, 23, ⟨10.1214/18-ECP179⟩ Electron. Commun. Probab. Electronic Communications in Probability, 2018, 23, ⟨10.1214/18-ECP179⟩ |
| بيانات النشر: | HAL CCSD, 2018. |
| سنة النشر: | 2018 |
| مصطلحات موضوعية: | Statistics and Probability, 60B11, Inequality, media_common.quotation_subject, [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA], 01 natural sciences, [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], FOS: Mathematics, Applied mathematics, Mathematics::Metric Geometry, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], 0101 mathematics, transport inequalities, ComputingMilieux_MISCELLANEOUS, Mathematics, media_common, Mathematics::Functional Analysis, 35A23, Concentration of measure, Probability (math.PR), 010102 general mathematics, 52A40, Gaussian measure, concentration of measure, Dual (category theory), 010101 applied mathematics, [MATH.MATH-PR]Mathematics [math]/Probability [math.PR], Entropy inequality, Statistics, Probability and Uncertainty, Mathematics - Probability |
| الوصف: | This note presents a sharp transport-entropy inequality that improves on Talagrand's inequality for the Gaussian measure, arising as a dual formulation of the functional Santal\'o inequality. We also discuss some extensions and connections with concentration of measure. Comment: 10 pages, comments are welcome |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 1083-589X |
| DOI: | 10.1214/18-ECP179⟩ |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ef00c199fa9828789184ba536a69a18e https://hal.archives-ouvertes.fr/hal-01968935 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....ef00c199fa9828789184ba536a69a18e |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 1083589X |
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| DOI: | 10.1214/18-ECP179⟩ |